Answer:
Step-by-step explanation:
When two angles are complementary, their angle lengths add up to 90°.
Therefore, we can make the equation
Now we can solve for x.
Since the measure of ∠4 is just x°, and we know x is 33, that means ∠4 is 33°.
We also have the expression for ∠3, . Since we know x is 33, we can substitute it into the expression.
Hope this helped!
Let be the distance traveled by deluxe tire .
As per given , we have
Null hypothesis :
Alternative hypothesis :
Since is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.
Test statistic :
where, n= sample size
= sample mean
= Population mean
=sample standard deviation
For , we have
By using z-value table,
P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23) [∵P(Z≤-z)=1-P(Z≤z)]
=1-0.9871=0.0129
Decision : Since p value (0.0129) < significance level (0.05), so we reject the null hypothesis .
[We reject the null hypothesis when p-value is less than the significance level .]
Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.